Mirror Structure Constants via Non-Archimedean Analytic Disks

Explore the construction of mirror structure constants for smooth affine log Calabi-Yau varieties through non-archimedean analytic disk counting in this advanced mathematics lecture. Delve into the generalization of previous constructions, removing toric assumptions and employing techniques based on analytic modification of target spaces and skeletal curve theory. Examine the resulting positivity and integrality of mirror structure constants, and potentially discuss further generalizations and virtual fundamental classes. This talk, part of the "Geometry, Topology, Group Actions, and Singularities in the Americas" conference, showcases cutting-edge research at the intersection of algebraic topology, algebraic geometry, and mathematical physics.